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What must the side lengths of two dimensional polygonal figures be if the figures are similar?
The side lengths of corresponding sides must all be in the same proportion to each other. So, for example, if you have a quadrilateral ABCD and you want to prove that it is similar to WXYZ, then you must show that all the side ratios are equal to each other. That is: AB/WX = BC/XY = CD/YZ = DA/ZW
What is important about the angles of similar figures?
when it comes to similar figures or angles you must know that they are the same shape but not the same size.
Can congruent figures also be similar?
They must be similar, with scale factor = 1.
What must be true of the corresponding angles in two similar figures?
koe
What are the two criteria that figures must meet in order to be classified as similar?
x times xb thats the answer
For two-dimensional polygonal figures to be similar their side lengths must be?
Corresponding
What must the side lengths of two dimensional polygonal figures be if the figures are similar?
The side lengths of corresponding sides must all be in the same proportion to each other. So, for example, if you have a quadrilateral ABCD and you want to prove that it is similar to WXYZ, then you must show that all the side ratios are equal to each other. That is: AB/WX = BC/XY = CD/YZ = DA/ZW
What is important about the angles of similar figures?
when it comes to similar figures or angles you must know that they are the same shape but not the same size.
Can congruent figures also be similar?
They must be similar, with scale factor = 1.
If two figures are similar then are they also congruent?
No. Two figures are similar if they have same shape, and all the angles are equal; but they can have the sides of different sizes. I mean, similar figures may have different sizes, but must have the same shape.
What must be true of the corresponding angles in two similar figures?
koe
What is the relationship between corresponding angles of similar figures?
They must be the same.
What are the two criteria that figures must meet in order to be classified as similar?
x times xb thats the answer
Why do corresponding angles of similar figures have to be congruent?
Corresponding angles of similar figures are congruent because similarity in geometry implies that the shapes have the same shape but may differ in size. When two figures are similar, their corresponding sides are in proportion, which leads to their angles being equal. This relationship ensures that the angles maintain their measures regardless of the scale of the figures, thus confirming that corresponding angles must be congruent.
How do you tell if a shape is polyhedron?
A shape is a polyhedron if it is a three-dimensional figure made up of flat polygonal faces, straight edges, and vertices. Each face must be a polygon, and the edges where the faces meet must be straight lines. Additionally, a polyhedron should enclose a volume, meaning it cannot have holes or gaps. If a shape meets these criteria, it can be classified as a polyhedron.
What types of rules produce similar figures?
the number before x and y must be the same ex. (2x,2y) (.5x,.5y)
In order for the two figures shown below to be similar the length of the unknown side must be . If necessary round your answer to the nearest tenth.?
To determine the length of the unknown side for the two figures to be similar, you need to set up a proportion based on the corresponding sides of the figures. By comparing the ratios of the known sides, you can solve for the unknown side. If you provide the specific measurements of the figures, I can help calculate the unknown length.
